xenharmonic (microtonal wiki)

Omnitetrachordal MODMOS scale
7L+14s
21 tones (9+3+9)

whitewood; requires high L/s; 2 forms

Q2 = 3.2777408456 (4/3 = 3L+5.5s)
P = 8.5554816911
Q1 = 13.8332225367 (4/3 = 3L+4.5s)

L = 57.14 to 171.43 cents (106.47 cents @ Q2, 138.95 cents @ P, 149.77 cents @ Q1)
s = 0.00 to 57.14 cents (32.48 cents @ Q1, 16.24 cents @ P, 10.83 cents @ Q2)

9/8 = L+4s (171.43 to 285.71 cents)
4/3 = 3L+5s (457.14 to 514.29 cents)
MOS generator: s (0.00 to 57.14 cents)
MOS period: 1/7 octave (171.43 cents)

notable EDOs: 42, 49, 56

ssLssLssLssLssLssLssL (MOS, not OTC)
||  ||  | |    |   |
sLssssLsLLssssLsLLsss (OTC form 1) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o

ssLssLssLssLssLssLssL (MOS, not OTC)
||  || |   |    | |
sLssssLssssLLsLssssLL (OTC form 2) - gc 5,5,2,5,2, 2o; pc 3,3,3,2,2,2, 6o

ssssLssssLsLLssssLsLL (form 1)
          ||      ||
ssssLssssLLsLssssLLsL (form 2)

all modes, form 1:

`ssssL ssssLsLL ssssLsLL`
`sssLs sssLsLLs sssLsLLs`
`ssLss ssLsLLss ssLsLLss`
`sLsss sLsLLsss sLsLLsss`
`Lssss LsLLssss LsLLssss`		`LssssLsL LssssLsL Lssss`
`ssssL sLLssssL sLLssssL`		`ssssLsLL ssssLsLL ssssL`
`sssLs LLssssLs LLssssLs`		`sssLsLLs sssLsLLs sssLs`
		`ssLsLLss ssLsLLss ssLss`
		`sLsLLsss sLsLLsss sLsss`
		`LsLLssss LsLLssss Lssss`
		`sLLssssL sLLssssL ssssL`
		`LLssssLs LLssssLs sssLs`
	`LssssLsL Lssss LssssLsL`
	`ssssLsLL ssssL ssssLsLL`
	`sssLsLLs sssLs sssLsLLs`
	`ssLsLLss ssLss ssLsLLss`
	`sLsLLsss sLsss sLsLLsss`
	`LsLLssss Lssss LsLLssss`
	`sLLssssL ssssL sLLssssL`
	`LLssssLs sssLs LLssssLs`
`Lssss LssssLsL LssssLsL`

all modes, form 2:

`ssssL ssssLLsL ssssLLsL`
`sssLs sssLLsLs sssLLsLs`
`ssLss ssLLsLss ssLLsLss`
`sLsss sLLsLsss sLLsLsss`		`sLssssLL sLssssLL sLsss`
`Lssss LLsLssss LLsLssss`		`LssssLLs LssssLLs Lssss`
`ssssL LsLssssL LsLssssL`		`ssssLLsL ssssLLsL ssssL`
		`sssLLsLs sssLLsLs sssLs`
		`ssLLsLss ssLLsLss ssLss`
		`sLLsLsss sLLsLsss sLsss`
		`LLsLssss LLsLssss Lssss`
		`LsLssssL LsLssssL ssssL`
	`sLssssLL sLsss sLssssLL`
	`LssssLLs Lssss LssssLLs`
	`ssssLLsL ssssL ssssLLsL`
	`sssLLsLs sssLs sssLLsLs`
	`ssLLsLss ssLss ssLLsLss`
	`sLLsLsss sLsss sLLsLsss`
	`LLsLssss Lssss LLsLssss`
	`LsLssssL ssssL LsLssssL`
`sLsss sLssssLL sLssssLL`
`Lssss LssssLLs LssssLLs`

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OTC 7L 14s

See also